986665458240 has 3136 divisors, whose sum is σ = 4797308160000. Its totient is φ = 190938746880.

The previous prime is 986665458167. The next prime is 986665458271. The reversal of 986665458240 is 42854566689.

It is a tau number, because it is divible by the number of its divisors (3136).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 16723143331 + ... + 16723143389.

Almost surely, 2^986665458240 is an apocalyptic number.

986665458240 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 986665458240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398654080000).

986665458240 is an abundant number, since it is smaller than the sum of its proper divisors (3810642701760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

986665458240 is a wasteful number, since it uses less digits than its factorization.

986665458240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 986665458240 in words is "nine hundred eighty-six billion, six hundred sixty-five million, four hundred fifty-eight thousand, two hundred forty".